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Finding the Fourth Proportional to 2,704.32, 3,731.96 and 1,462.32

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Solution

The fourth proportional to 2,704.32, 3,731.96 and 1,462.32 is: 2,018.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.32 : 3,731.96 = 1,462.32 : x
  2. Step 2: Convert to fraction form
    2,704.32/3,731.96 = 1,462.32/x
  3. Step 3: Cross multiply
    2,704.32x = 3,731.96 × 1,462.32
  4. Step 4: Simplify right side
    2,704.32x = 5,457,312.44
  5. Step 5: Solve for x
    x = 5,457,312.44/2,704.32
  6. Step 6: Final answer
    x = 2,018.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.